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MathGroup Archive 1998

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Re: How do u go about doing this---?



f[x_, y_] := (Sin[x] + Cos[y])/(Sin[x] - Cos[y])

D[f[x, y], x]^2 + D[f[x, y], y]^2

(Cos[x]/(Sin[x] - Cos[y]) - 
     (Cos[x]*(Cos[y] + Sin[x]))/(Sin[x] - Cos[y])^2)^2 + 
  (-(((Cos[y] + Sin[x])*Sin[y])/(Sin[x] - Cos[y])^2) - 
     Sin[y]/(Sin[x] - Cos[y]))^2

Simplify[%]

(Cos[2*(x - y)] + Cos[2*(x + y)] + 2)/(Cos[y] - Sin[x])^4

Bob Hanlon



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